Find the complex number satisfying the system of equations `z^3+ omega^7=0a n dz^5omega^(11)=1.`

Find the complex number satisfying system of equation z^(3)=-((omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equation z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find the number of values of complex numbers omega satisfying the system of equations z^(3)==(overlineomega)^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

Find number of values of complex numbers omega satisfying the system of equaltion z^(3)=-(bar(omega))^(7) and z^(5).omega^(11)=1

If the complex number z and omega satisfies z^(3)+omega^(-7)=0 and z^(5)*omega^(11)=1 then

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

Find the complex number omega satisfying the equation z^(3)=8i and lying in the second quadrant on the complex plane.

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.